Navier-Stokes: Equations and Simulation

This lecture covers the Navier-Stokes equations, focusing on the challenges in solving them, such as coupled equations, differential operators, pressure, turbulence, and numerical flow simulation. It explains the issues with pressure checkerboard, the staggered grid approach, and the SIMPLE algorithm. The presentation discusses the fractional step method, the Poisson equation for pressure, and the Helmholtz-Hodge decomposition. It also compares staggered grid vs. collocated grid and provides guidelines for solving the Navier-Stokes equations.